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Finding the Fourth Proportional to 19,505.82, 29,258.40 and 4,714.62

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Solution

The fourth proportional to 19,505.82, 29,258.40 and 4,714.62 is: 7,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505.82 : 29,258.40 = 4,714.62 : x
  2. Step 2: Convert to fraction form
    19,505.82/29,258.40 = 4,714.62/x
  3. Step 3: Cross multiply
    19,505.82x = 29,258.40 × 4,714.62
  4. Step 4: Simplify right side
    19,505.82x = 137,942,237.81
  5. Step 5: Solve for x
    x = 137,942,237.81/19,505.82
  6. Step 6: Final answer
    x = 7,071.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.